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Finding the Fourth Proportional to 152,701, 210,746.84 and 85,633

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Solution

The fourth proportional to 152,701, 210,746.84 and 85,633 is: 118,184.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,701 : 210,746.84 = 85,633 : x
  2. Step 2: Convert to fraction form
    152,701/210,746.84 = 85,633/x
  3. Step 3: Cross multiply
    152,701x = 210,746.84 × 85,633
  4. Step 4: Simplify right side
    152,701x = 18,046,884,149.72
  5. Step 5: Solve for x
    x = 18,046,884,149.72/152,701
  6. Step 6: Final answer
    x = 118,184.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.